PAQ ही बिंदू O असलेल्या एका वर्तुळाची स्पर्शिक आहे.  AB ही एक जीवा आहे जी ∠BAQ = x° (x < 90°) आहे. C हा मुख्य परिघाचा भाग असलेल्या AB वर एक बिंदू आहे जो ∠ACB = y° आहे. जर ∠ABO = 32° असेल तर x + y चे मूल्य किती?

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SSC CGL Previous Paper 82 (Held On: 9 March 2020 Shift 3)
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  1. 112°
  2. 98°
  3. 116°
  4. 110°

Answer (Detailed Solution Below)

Option 3 : 116°
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Detailed Solution

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F1 Ashish.K 08-05-2020 Savita D4

∠ABO = 32°, ∠BAQ = X and ∠ACB = Y

∠ABO = ∠BAO = 32° [OA = OB]

∠OAQ = 90° [स्पर्शीका]

∠OAQ = ∠BAO + ∠BAQ

⇒ 90° = 32° + x

⇒ x = 90° - 32° = 58°

जसे आपल्याला माहित आहे,

x = y = 58°

⇒ x + y = 58° + 58°

⇒ x + y = 116°

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